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Finding the Fourth Proportional to 254,756.52, 351,571.14 and 147,316.20

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Solution

The fourth proportional to 254,756.52, 351,571.14 and 147,316.20 is: 203,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,756.52 : 351,571.14 = 147,316.20 : x
  2. Step 2: Convert to fraction form
    254,756.52/351,571.14 = 147,316.20/x
  3. Step 3: Cross multiply
    254,756.52x = 351,571.14 × 147,316.20
  4. Step 4: Simplify right side
    254,756.52x = 51,792,124,374.47
  5. Step 5: Solve for x
    x = 51,792,124,374.47/254,756.52
  6. Step 6: Final answer
    x = 203,300.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.